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Finding the Fourth Proportional to 152,009.86, 209,764.48 and 84,022.77

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Solution

The fourth proportional to 152,009.86, 209,764.48 and 84,022.77 is: 115,946.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,009.86 : 209,764.48 = 84,022.77 : x
  2. Step 2: Convert to fraction form
    152,009.86/209,764.48 = 84,022.77/x
  3. Step 3: Cross multiply
    152,009.86x = 209,764.48 × 84,022.77
  4. Step 4: Simplify right side
    152,009.86x = 17,624,993,745.58
  5. Step 5: Solve for x
    x = 17,624,993,745.58/152,009.86
  6. Step 6: Final answer
    x = 115,946.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.